3. A load Z1 = 10 – 320 (22) is used to terminate a lossless transmission line with 20 = 50 [2]. Use the Smith chart on
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- 3 A Load Z1 10 320 22 Is Used To Terminate A Lossless Transmission Line With 20 50 2 Use The Smith Chart On 1 (63.74 KiB) Viewed 42 times
3. A load Z1 = 10 – 320 (22) is used to terminate a lossless transmission line with 20 = 50 [2]. Use the Smith chart on the next page page to solve this problem. (a) (2 points) What is the normalized impedance zu of the load? (b) (2 points) What is the magnitude and phase of the load voltage reflection coefficient? (c) (2 points) What is the voltage standing wave ratio (VSWR) on the line? (d) (4 points) Now we want to design matching networks to match the load to Z, by inserting a quarter wave transformer (part d and e) at distance d, away to the load. What is the shortest distance to the load d, in this case? Provide your answer in terms of wavelengths.
(e) (3 points) What is the impedance of the quarter-wave transformer, Zq, in this case? (f) (4 points) Now we want to use a single-stub matching network (part f to h) to match the load using a stub with characteristic impedance of 50[12]. The stub is shunt connected to the original transmission line at a distance d, away from the load. What is the shorted distance d, where the stub is inserted? (g) (3 points) Using a stub with a shorted load, what is the minimum length of the shorted stub in units of the wavelength? (h) (3 points) Using a stub with a open load, what is the minimum length of the open stub in units of the wavelength?